Search a number
-
+
10112132229 = 323202972229
BaseRepresentation
bin10010110101011101…
…01110010010000101
3222002201202112121220
421122232232102011
5131202201212404
64351230030553
7505405464033
oct113256562205
928081675556
1010112132229
11431a042681
121b62648459
13c51cbb1c4
146bcdd1553
153e2b5c4d9
hex25abae485

10112132229 has 16 divisors (see below), whose sum is σ = 14076182400. Its totient is φ = 6445048896.

The previous prime is 10112132201. The next prime is 10112132231. The reversal of 10112132229 is 92223121101.

10112132229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10112132229 - 217 = 10112001157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10112132199 and 10112132208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112132269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103887 + ... + 176115.

It is an arithmetic number, because the mean of its divisors is an integer number (879761400).

Almost surely, 210112132229 is an apocalyptic number.

It is an amenable number.

10112132229 is a deficient number, since it is larger than the sum of its proper divisors (3964050171).

10112132229 is a wasteful number, since it uses less digits than its factorization.

10112132229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74284.

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 10112132229 in words is "ten billion, one hundred twelve million, one hundred thirty-two thousand, two hundred twenty-nine".

Divisors: 1 3 23 69 2029 6087 46667 72229 140001 216687 1661267 4983801 146552641 439657923 3370710743 10112132229